Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Answer: 4:20
Step-by-step explanation:
60 lbs can be divided into three groups, in this case the bags of sand, so 60 divided by 3 is 20.
Now you have the 8 lbs left. It gets divided into two groups/bags so you would do 8 divided by 2 is 4.
Then for your ratio it is cement to sand which is 4:20. You can write the ratio however way you want or what is required by the question.(fraction bar, ‘to’, or colon ‘:’ )
Hope this helps!
Vertex is -1
Axis of symmetry is -1
(Tip the axis of symmetry and vertex will always be the same)
Answer:
900 x 2
Step-by-step explanation:
